Force on Current-Carrying Conductors question from JEE Main 2022 (28 Jul, Shift 1)

As shown in the figure, a metallic rod of linear density $0.45\text{ kg m}^{-1}$ is lying horizontally on a smooth inclined plane which makes an angle of $45^\circ$ with the horizontal. The minimum current flowing in the rod required to keep it stationary, when $0.15\text{ T}$ magnetic field is acting on it in the vertical upward direction, will be:

{Use $g = 10\text{ m/s}^2$}